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Solution of Max-Min Problems via Bound Formulation and Mathematical Programming

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Structural Optimization

Abstract

Structural optimization problems pertaining to maximization of the minimum (or minimization of the maximum) of a set of weighted criteria for given cost, are considered. It is shown that maximization of the initially smaller of the (weighted) criteria and using this as a lower bound in an iterative mathematical programming formulation leads to a very efficient method for solution of problems with global as well as local objectives.

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© 1988 Kluwer Academic Publishers

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Olhoff, N. (1988). Solution of Max-Min Problems via Bound Formulation and Mathematical Programming. In: Rozvany, G.I.N., Karihaloo, B.L. (eds) Structural Optimization. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-1413-1_52

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  • DOI: https://doi.org/10.1007/978-94-009-1413-1_52

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-7132-1

  • Online ISBN: 978-94-009-1413-1

  • eBook Packages: Springer Book Archive

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